Kurum Yazarı "Ergüt, Mahmut" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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Affine Factorable Surfaces in Isotropic Spaces
Aydın, Muhittin Evren; Erdur, Ayla; Ergüt, Mahmut (Inst Applied Mathematics, 2020)In this paper, we study the problem of finding affine factorable surfaces in a 3-dimensional isotropic space I-3 with prescribed Gaussian (K) or mean (H) curvatures. Because the absolute figure of I-3, by permutation of ... -
Affine Translation Surfaces in the Isotropic 3-Space
Aydın, Muhittin Evren; Ergüt, Mahmut (Int Electronic Journal Geometry, 2017)In this paper, we describe (linear) Weingarten affine translation surfaces of first kind in the isotropic 3-space. In addition, we obtain such surfaces that satisfy certain equations in terms of the position vector and the ... -
Classification of Factorable Surfaces in the Pseudo-Galilean Space
Aydın, Muhittin Evren; Öğrenmiş, Alper Osman; Ergüt, Mahmut (Croatian Mathematical Soc, 2015)In this paper, we introduce the factorable surfaces in the pseudo-Galilean space G(3)(1) and completely classify such surfaces with null Gaussian and mean curvature. Also, in a special case, we investigate the factorable ... -
Curves of Constant Breadth According to Type-2 Bishop Frame in E3
Bozok, Hülya Gün; Sepet, Sezin Aykurt; Ergüt, Mahmut (Ankara Univ, Fac Sci, 2017)In this paper, we study the curves of constant breadth according to type-2 Bishop frame in the 3-dimensional Euclidean Space E-3. Moreover some characterizations of these curves are obtained. -
Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space
Aydın, Muhittin Evren; Mihai, Adela; Öğrenmiş, Alper Osman; Ergüt, Mahmut (Hindawi Ltd, 2015)We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean space G(3)(1). We classify such surfaces with null curvature and characterize some special curves on these surfaces ... -
Isotropic Geometry of Graph Surfaces Associated with Product Production Functions in Economics
Aydın, Muhittin Evren; Ergüt, Mahmut (Tamkang Univ, 2016)A production function is a mathematical formalization in economics which denotes the relations between the output generated by a firm, an industry or an economy and the inputs that have been used in obtaining it. In this ... -
Isotropic Smarandache Curves in the Complex 4-Space
Ergüt, Mahmut; Yılmaz, Suha; Ünlütürk, Yasin (Honam Mathematical Soc, 2018)We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(alpha)e(2)(alpha)e(3)(alpha)-isotropic Smarandache curve, and the e(1)(alpha)e(2)(alpha)e(4)(alpha)-isotropic Smarandache ... -
Motions of Curves in 4-Dimensional Galilean Space G4
Gün Bozok, Hülya; Sepet, Sezin Aykurt; Ergüt, Mahmut (World Scientific Publ Co Pte Ltd, 2021)In this paper, we investigate the flow of curve and its equiform geometry in 4-dimensional Galilean space. We obtain that the Frenet equations and curvatures of inextensible flows of curves and its equiformly invariant ... -
New Approach for Mannheim Curves in Terms of Inextensible Flows in E-3
Korpinar, Talat; Ergüt, Mahmut (Editura Bibliotheca-Bibliotheca Publ House, 2017)In this work, we study the properties of the Mannheim curves in terms of inextensible flows in E-3. Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for ... -
New Classification Results on Surfaces with a Canonical Principal Direction in the Minkowski 3-space
Kelleci, Alev; Ergüt, Mahmut; Turgay, Nurettin Cenk (Univ Nis, Fac Sci Math, 2017)In this paper, we characterize and classify all surfaces endowed with canonical principal direction relative to a space-like and light-like, constant direction in the Minkowski 3-space. -
New results on helix surfaces in the Minkowski 3-space
Kelleci, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Int Electronic Journal Geometry, 2019)In this paper, we characterize and classify helix surfaces with principal direction relatived to a space-like and light-like, constant direction in the Minkowski 3-space. -
On Generalized Constant Ratio Surfaces of Higher Codimension
Kelleci, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Springer Basel Ag, 2019)In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. ... -
ON SPACE-LIKE GENERALIZED CONSTANT RATIO HYPERSUFACES IN MINKOWSKI SPACES
Kelleci Akbay, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Inst Applied Mathematics, 2022)In this work, we move the study of generalized constant ratio hypersurfaces started in [6] into the Minkowski space. First, we get some geometrical properties of a non-degenerated GCR hypersurface in an arbitrary dimensional ... -
On surfaces endowed with a canonical principal direction in Euclidean 4-spaces
Kelleci, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Scientific Technical Research Council Turkey-Tubitak, 2019)In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean ... -
Pointwise Bi-Slant Submersions From Cosymplectic Manifolds
Sepet, Sezin Aykurt; Ergüt, Mahmut (2020)We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi- slant ... -
Pointwise slant submersions from almost product Riemannian manifolds
Sepet, Sezin Aykurt; Ergüt, Mahmut (Taru Publications, 2020)In this paper, we investigate pointwise slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We obtain some characterizations for such a submersion. Also we find curvature relations between ... -
Pointwise slant submersions from cosymplectic manifolds
Sepet, Sezin Aykurt; Ergüt, Mahmut (Scientific Technical Research Council Turkey-Tubitak, 2016)In this paper, we characterize the pointwise slant submersions from cosymplectic manifolds onto Riemannian manifolds and give several examples. -
Polynomial Affine Translation Surfaces in Euclidean 3-Space
Bozok, Hülya Gün; Ergüt, Mahmut (Soc Paranaense Matematica, 2019)In this paper we study the polynomial affine translation surfaces in E-3 with constant curvature. We derive some non-existence results for such surfaces. Several examples are also given by figures. -
A Short Survey on Surfaces Endowed with a Canonical Principal Direction
Kelleci, Alev; Ergüt, Mahmut (Istanbul Technical Univ, 2017)In this paper, we would like to give a short survey of recent results on hypersurfaces with canonical principal direction relative to a fixed direction in a (semi-)Riemannian manifold. We also present some of our first ... -
Singular minimal translation graphs in euclidean spaces
Aydın, Muhittin Evren; Erdur, A.; Ergüt, Mahmut (Korean Mathematical Society, 2021)In this paper, we consider the problem of finding the hypersurface Mn in the Euclidean (n + 1)-space Rn+1 that satisfies an equation of mean curvature type, called singular minimal hypersurface equation. Such an equation ...